Emphasizing the connection between mathematical objects and their practical C++ implementation, this book provides a comprehensive introduction to both the theory behind the objects and the C and C++ programming. Object-oriented implementation of three-dimensional meshes facilitates understanding of their mathematical nature. Requiring no prerequisites, the text covers discrete mathematics, data structures, and computational physics, including high-order discretization of nonlinear equations. Exercises and solutions make the book suitable for classroom use and a supporting website supplies downloadable code.
Numbers. Geometrical Objects. Composite Mathematical Objects. Introduction to C. Introduction to C++. Implementation of Computational Objects. Three-Dimensional Applications. Appendix. References. Index.
Yair Shapira is in the computer science department at Technion. His research interests include multigrid, preconditioning, and numerical methods.